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20626704 = 2433719359
BaseRepresentation
bin100111010101…
…1110100010000
31102210221112000
41032223310100
520240023304
62014034000
7340216110
oct116536420
942727460
1020626704
111070916a
126aa8900
134372767
142a4d040
151c26939
hex13abd10

20626704 has 160 divisors (see below), whose sum is σ = 71424000. Its totient is φ = 5567616.

The previous prime is 20626703. The next prime is 20626709. The reversal of 20626704 is 40762602.

20626704 = T1464 + T1465 + ... + T1482.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20626703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57277 + ... + 57635.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 220626704 is an apocalyptic number.

20626704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20626704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712000).

20626704 is an abundant number, since it is smaller than the sum of its proper divisors (50797296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20626704 is a wasteful number, since it uses less digits than its factorization.

20626704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20626704 is about 4541.6631314971. The cubic root of 20626704 is about 274.2478798261.

The spelling of 20626704 in words is "twenty million, six hundred twenty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 359 378 399 432 456 504 513 532 684 718 756 798 912 1008 1026 1064 1077 1197 1368 1436 1512 1596 2052 2128 2154 2394 2513 2736 2872 3024 3192 3231 3591 4104 4308 4788 5026 5744 6384 6462 6821 7182 7539 8208 8616 9576 9693 10052 12924 13642 14364 15078 17232 19152 19386 20104 20463 22617 25848 27284 28728 30156 38772 40208 40926 45234 47747 51696 54568 57456 60312 61389 67851 77544 81852 90468 95494 109136 120624 122778 135702 143241 155088 163704 180936 184167 190988 245556 271404 286482 327408 361872 368334 381976 429723 491112 542808 572964 736668 763952 859446 982224 1085616 1145928 1289169 1473336 1718892 2291856 2578338 2946672 3437784 5156676 6875568 10313352 20626704